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Sobolev Mapping of the Bergman Projections on Generalized Hartogs Triangles
《Acta Mathematica Sinica,English Series》2024年第2期451-466,共16页Hong Yan LIU Zhen Han TU 
Supported by the National Natural Science Foundation of China(Grant No.12071354)。
In this paper,we investigate Sobolev mapping properties of the Bergman projection.Th domain we focus on is defined byΩm/n:={(z,w)∈C^(1+N):|w1|<|z|m1/n1<1,…|wN|<|z|/m_(N)/n_(N)<1},where m=(m1,…mN)∈(Z^(+))^(N),n=(...
关键词：Bergman projections generalized Hartogs triangles Sobolev spaces 
Proper Holomorphic Mappings Between n-generalized Hartogs Triangles
《Acta Mathematica Sinica,English Series》2022年第6期1002-1014,共13页Feng RONG Shuo ZHANG 
supported by the National Natural Science Foundation of China(Grant No.11871333)。
In this paper,we first introduce the notion of n-generalized Hartogs triangles.Then,we characterize proper holomorphic mappings between some of these domains,and describe their automorphism groups.
关键词：Proper holomorphic mapping generalized Hartogs triangle automorphism group 
Cohomology Theories in Triangulated Categories被引量：1
《Acta Mathematica Sinica,English Series》2016年第11期1377-1390,共14页Wei REN Ren Yu ZHAO Zhong Kui LIU 
Supported by National Natural Science Foundation of China(Grant Nos.11401476,11361052,11261050)
Let C be a triangulated category with a proper class g of triangles. We prove that there exists an Avramov-Martsinkovsky type exact sequence in g, which connects ε-cohomology, ε-Tate cohomology and ε-Corenstein coh...
关键词：Triangulated categories proper class of triangles cohomology theories 
Notes on Proper Class of Triangles被引量：2
《Acta Mathematica Sinica,English Series》2013年第11期2137-2154,共18页Xiao Yan YANG 
Supported by National Natural Science Foundation of China(Grant No.11001222)
Let T be a triangulated category and ζ a proper class of triangles. Some basics properties and diagram lemmas are proved directly from the definition of ζ.
关键词：Proper class of triangles triangulated category 
Spherical f-Tilings by Scalene Triangles and Isosceles Trapezoids, Ⅱ被引量：1
《Acta Mathematica Sinica,English Series》2012年第5期1013-1032,共20页Catarina P. AVELINO Altino F.SANTOS 
Research funded by the Portuguese Government through the FCT-Fundaao para a Ciencia e a Tecnologia-under the project PEst-OE/MAT/UI4080/2011
The study of the dihedral f-tilings of the sphere S2 whose prototiles are a scalene triangle and an isosceles trapezoid was initiated in a previous work. In this paper we continue this classification presenting the st...
关键词：Dihedral f-tilings combinatorial properties spherical trigonometry 
List Total Colorings of Planar Graphs without Triangles at Small Distance被引量：1
《Acta Mathematica Sinica,English Series》2011年第12期2437-2444,共8页Bin LIU Jian Feng HOU Gui Zhen LIU 
Suppose that G is a planar graph with maximum degree △. In this paper it is proved that G is total-（△ ＋ 2）-choosable if （1） △ ≥ 7 and G has no adjacent triangles （i.e., no two triangles are incident with a c...
关键词：List total coloring CHOOSABILITY planar graph 
A Note on Tropical Triangles in the Plane
《Acta Mathematica Sinica,English Series》2009年第11期1775-1786,共12页M.ANSOLA M.J.de la PUENTE 
supported by MTM 2005-02865;UCM 910444
We define transversal tropical triangles （affine and projective） and characterize them via six inequalities to be satisfied by the coordinates of the vertices. We prove that the vertices of a transversal tropical tr...
关键词：tropical triangles tropical triangulation linear inequalities CONVEXITY tropical semi-field 
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